Sentence examples for bounded nonoscillatory solution of from inspiring English sources

Proof Let x be a bounded nonoscillatory solution of (1.1).

Therefore, is a bounded nonoscillatory solution of (1.11).

Let (x t)) be a bounded nonoscillatory solution of equation (3).

It is claimed that the fixed point is a bounded nonoscillatory solution of (1.11).

By Lemma 1.1, there exists such that, which is a bounded nonoscillatory solution of (1.11).

Suppose that is a bounded nonoscillatory solution of (3.91) and According to Lemma 3.42, either or is satisfied.

Then the mappings and have fixed points, respectively, which are bounded nonoscillatory solutions of (1.11) in.

In this section, a few sufficient conditions of the existence of bounded nonoscillatory solutions of (1.11) are given.

That is, z 1 and z 2 are also bounded nonoscillatory solutions of (1.12) in A ( N, M ).

By using Schauder fixed point theorem and Krasnoselskii fixed point theorem, the existence of bounded nonoscillatory solutions of (1.11) is established.

That is, x and y are bounded nonoscillatory solutions of equation (1.9) in (Omega ({A_{n}}_{ninBbb {Z}_{beta}},{B_{n}}_{ninBbb {Z}_{beta}} )).